Answer:
k = -9.
Step-by-step explanation:
As the triangle is right-angled at Q, by Pythagoras:
PR^2 = PQ^2 + RQ^2
So, substituting the given data and using the distance formula between 2 points:
(7 - 1)^2 + (k - 4)^2 = (-4-4)^2 + (-3-1)^2 + (7 - (-3))^2 + (k - (-4))^2
36 + (k - 4)^2 = 64 + 16 + 100 + ( k + 4)^2
(k - 4)^2 - (k + 4)^2 = 180 - 36
k^2 - 8k + 16 - (k^2 + 8k + 16) = 144
-16k = 144
k = -9.
It’s the 3rd answer lol,good luck
Answer:
She’s 18
Step by step explanation:
18+13=31
The gradient formula is:
m = y2 - y1/ x2 - x1
> m = 5 - 1 /-2 -3
>> m = 4/-5x
Simultaneous equation refer to a pair of equations that are solved at the same time.
<h3>What is a simultaneous equation?</h3>
A simultaneous equation refer to a pair of equations that are solved at the same time.
For problem 1;
x = 4 - y ------ (1)
y^2 = 3x + 19 ----- (2)
Substitute (1) into (2)
y^2 = 3(4 - y) + 19
y^2 = 12 - 3y + 19
y^2 +3y - 31 =0
y = 4.27 or -7.27
x = 4 - 4.27 = 0.27
or
x = 4 - (-7.27) = 11.27
For the second problem;
x = 7 - y
y^2 = 5x - 15
Substitute (1) into (2)
y^2 = 5(7 - y) - 15
y^2 =35 -5y -15
y^2 + 5y - 20 = 0
y =2.62 or -7.62
x = 7 - 2.62 = 4.38
OR
x= 7 - (-7.62) = 14.62
Learn more about simultaneous equation:brainly.com/question/16763389
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